What is factor 125x^3-343y^3 ?

The solution to factor 125x^3-343y^3 is (5x-7y)(25x^2+35xy+49y^2)

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factor 125x^3-343y^3

factor

125 x^{3} - 343 y^{3}

(5 x - 7 y) (25 x^{2} + 35 x y + 49 y^{2})

Solution steps

125 x^{3} - 343 y^{3}

Apply exponent rules

= (5 x)^{3} - (7 y)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

(5 x)^{3} - (7 y)^{3} = (5 x - 7 y) ((5 x)^{2} + 5 x \cdot 7 y + (7 y)^{2})

= (5 x - 7 y) ((5 x)^{2} + 5 x \cdot 7 y + (7 y)^{2})

Simplify

(5 x)^{2} + 5 x \cdot 7 y + (7 y)^{2} : 25 x^{2} + 35 x y + 49 y^{2}

= (5 x - 7 y) (25 x^{2} + 35 x y + 49 y^{2})

sin (\frac{x}{x})

(2^{- 2} - 5^{- 1})^{- 1}

(x y)^{6}

\frac{10}{3} \div 2

1.00 1^{1000}

What is factor 125x^3-343y^3 ?
The solution to factor 125x^3-343y^3 is (5x-7y)(25x^2+35xy+49y^2)